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Finding the Third Proportional to 27,131 and 58,351

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Solution

The third proportional to 27,131 and 58,351 is: 125,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131 : 58,351 = 58,351 : x
  2. Step 2: Convert to fraction form
    27,131/58,351 = 58,351/x
  3. Step 3: Cross multiply
    27,131x = 58,351 × 58,351
  4. Step 4: Simplify right side
    27,131x = 3,404,839,201
  5. Step 5: Solve for x
    x = 3,404,839,201/27,131
  6. Step 6: Final answer
    x = 125,496.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.